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(a) A bicycle generator rotates at 1875 rad/s, producing an 18.0 V peak emf. It has a 1.00 by 3.00 cm rectangular coil in a 0.640 T field. How many turns are in the coil? (b) Is this number of turns of wire practical for a 1.00 by 3.00 cm coil?

a. 50 turns,b. reasonable.

01:58

Averell H.

06:38

Mohammad A.

Physics 102 Electricity and Magnetism

Chapter 23

Electromagnetic Induction, AC Circuits, and Electrical Technologies

Electromagnetic Induction

Cornell University

Rutgers, The State University of New Jersey

University of Washington

Lectures

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hi. In the given problem, the bicycle generator, the coil off by civil generator, is rotating at the angular velocity off 1875 Radian per second. The pgm of generated across it is given as 18.0 volt. The length and breadth off the coil are given us for land. This is 3.0 centimeter and its breath is 1.0 centimeter. So it's area will be given by land into breath. No, the pgm If generated for the first part of the problem, we have to find the number off terms they're The magnetic field is given as 0.640 Tesla. So for this toe, find we will use an expression for the P came in, which is given as the product off number off terms with the angular velocity with the area off the oil and the the magnetic field. So it becomes an omega into L A. Into B in tow be their small B is for the worth off the coin. So expression for the number of terms comes out to be he not bye Omega in tow. L in to be in tow be so plugging in unknown values for E M f. This is 18 gold. Oh my God. Is 1875 were deployed by length, which is three centimeter. Or you can say this is three into tennis for minus 2 m prepared. This is one centimeter or one into Standish par minus 2 m. And finally, for magnetic field. This is 0.640 So finally this number off down here comes out Toby 50. Hence, the coil is having dimensions off one centimeter by three centimeter. So the size off the coil is reasonable and number off turns 50 which is also reasonable. Hence this generator is reasonable toe construct for the bicycle. Thank you.

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